What is the Greatest Common Factor of 64845 and 64865?

Greatest common factor (GCF) of 64845 and 64865 is 5.

GCF(64845,64865) = 5

We will now calculate the prime factors of 64845 and 64865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64845 and 64865.

How to find the GCF of 64845 and 64865?

We will first find the prime factorization of 64845 and 64865. After we will calculate the factors of 64845 and 64865 and find the biggest common factor number .

Step-1: Prime Factorization of 64845

Prime factors of 64845 are 3, 5, 11, 131. Prime factorization of 64845 in exponential form is:

64845 = 3² × 5¹ × 11¹ × 131¹

Step-2: Prime Factorization of 64865

Prime factors of 64865 are 5, 12973. Prime factorization of 64865 in exponential form is:

64865 = 5¹ × 12973¹

Step-3: Factors of 64845

List of positive integer factors of 64845 that divides 64845 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 131, 165, 393, 495, 655, 1179, 1441, 1965, 4323, 5895, 7205, 12969, 21615

Step-4: Factors of 64865

List of positive integer factors of 64865 that divides 64845 without a remainder.

1, 5, 12973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64845 and 64865. The biggest common factor number is the GCF number.
So the greatest common factor 64845 and 64865 is 5.

Also check out the Least Common Multiple of 64845 and 64865